Thank you for visiting The body temperature F of humans is normally distributed with a mean of 97 7 and a standard deviation of 0 6 a What is. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
This mathematics question concerns probability and statistics, specifically the normal distribution involving human body temperature. Through standardized computations and reference to a normal distribution table, we can determine the associated probabilities. For instance, the probability of a randomly sampled individual having a body temperature less than 99°F is approximately 0.985.
Explanation:
The subject of this question is related to probability and statistics, specifically around the normal distribution. Let's tackle each component of the question step by step:
- In regards to what is the probability that a person’s body temperature is at most 99°F, first, we need to standardize the temperature using the formula z = (x - μ) / σ, where x = 99, μ = 97.7, and σ = 0.6. Hence, z = (99 - 97.7) / 0.6 = 2.17. Consulting a standard normal distribution table or using a z-score calculator, we find that the probability is approximately 0.985.
- For the probability that a person’s body temperature is within 1.5°F of the mean value, we calculate the z-scores for 97.7 - 1.5 = 96.2 and 97.7 + 1.5 = 99.2. We find z-scores -2.50 and 2.50. The probability is the area under the curve between these z-scores, which is approximately 0.987.
- To determine the temperature value that separates the highest 33% from the rest, we look for the z-score that corresponds to the 67th percentile (100% - 33%), which is approximately 0.43. Using the formula x = μ + z * σ, we find x = 97.7 + 0.43 * 0.6 = 98
- Lastly, the probability that all of 10 randomly sampled people have temperatures less than 99°F is simply the 10th power of the probability found in first part, which is approximately 0.85.
Learn more about Probability and Statistics here:
https://brainly.com/question/35203949
#SPJ11
Thank you for reading the article The body temperature F of humans is normally distributed with a mean of 97 7 and a standard deviation of 0 6 a What is. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees
Rewritten by : Jeany
